Coderivatives of the generalized perturbation maps

被引：0
|
作者：
Xue, X. W. [1 ]
Li, S. J. [1 ]
机构：
[1] Chongqing Univ, Coll Math & Sci, Chongqing 400044, Peoples R China
来源：
POSITIVITY | 2011年 / 15卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Set-valued maps; Normal cone; Coderivative; Strictly differentiable; Generalized perturbation map; SET-VALUED MAPPINGS; SENSITIVITY-ANALYSIS; DIFFERENTIAL-CALCULUS; OPTIMIZATION PROBLEMS; VARIATIONAL ANALYSIS; ASPLUND SPACES; NONSMOOTH; EQUATIONS; MULTIFUNCTIONS; DERIVATIVES;
D O I：
10.1007/s11117-010-0076-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to considering the coderivatives of the generalized perturbation maps in general Banach spaces. Under some mild conditions, the upper estimate of coderivatives of the generalized perturbation maps are obtained. Their exact calculus rules are obtained under some additional conditions. Furthermore, the generalized perturbation maps are shown to be differentiably regular under some strong conditions.
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页码：309 / 329
页数：21
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